At 27°C temperature, the kinetic energy of an ideal gas is E1. If the temperature is increased to 327°C, then kinetic energy would be

1.  2E1                               

2.  12E1

3.  2E1                           

4.  12E1

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The average kinetic energy of a gas molecule at 27°C is 6.21×10-21 J. Its average kinetic energy at 227°C will be

1. 52.2×10-21 J                           

2. 5.22×10-21 J

3. 10.35×10-21 J                         

4. 11.35×10-21 J

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The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is

1.  0.0015                 

2.  0.003

3.  0.048                   

4.  0.768

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The average translational energy and the r.m.s. speed of molecules in a sample of oxygen gas at 300 K are 6.21×10-21 J and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

1.  12.42×1021 J, 968 m/s                     

2.  8.78×1021 J, 684 m/s

3.  6.21×1021 J, 968 m/s                       

4.  12.42×10-21 J, 684 m/s

 

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At 0 K which of the following properties of a gas will be zero

1. Kinetic energy                     

2. Potential energy

3. Vibrational energy               

4. Density

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A gas mixture consists of molecules of type 1, 2 and 3, with molar masses m1>m2>m3. Vrms and K¯ are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true

1. Vrms1<Vrms2<Vrms3 and K¯1=K¯2=K¯3

2. Vrms1=Vrms2=Vrms3 and K¯1=K¯2>K¯3

3. Vrms1>Vrms2>Vrms3 and K¯1<K¯2>K¯3

4. Vrms1>Vrms2>Vrms3 and K¯1<K¯2<K¯3

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Two ideal gases at absolute temperature T1 and T2 are mixed. There is no loss of energy. The masses of the molecules are m1 and m2 and the number of molecules in the gases are n1 and n2 respectively. The temperature of mixture will be

1. T1+T22 energy                     

2. T1+T2n1n2

3. n1T1+n2T2n1+n2                         

4. T1+T2

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The molecules of an ideal gas at a certain temperature have

1. Only potential energy

2. Only kinetic energy

3. Potential and kinetic energy both

4. None of the above

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Mean kinetic energy per degree of freedom of gas molecules is

1. 32 kT                       

2. kT

3. 12 kT                       

4. 32 RT

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The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is

1.  4.6×103 K                 

2.  11.6×103 K

3.  23.2×103 K               

4.  7.7×103 K

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